U-tiling: UQC2068
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1670 |
*222222 |
(2,6,4) |
{7,4} |
{4.4.4.6.4.4.4}{4.4.6.6} |
s-nets
3 records listed.
| Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
|
P
|
True
|
|
sqc3235
|
|
Pmmm |
47 |
orthorhombic |
{6,4} |
8 |
(2,6) |
|
G
|
False
|
|
sqc4089
|
|
I212121 |
24 |
orthorhombic |
{7,4} |
8 |
(2,7) |
|
D
|
False
|
|
sqc601
|
|
P222 |
16 |
orthorhombic |
{7,4} |
4 |
(2,6) |
Topological data
| Vertex degrees | {7,4} |
| 2D vertex symbol | {4.4.4.6.4.4.4}{4.4.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<95.1:88:23 46 47 15 16 8 9 21 55 34 57 58 19 20 66 68 69 37 38 30 31 43 77 79 80 41 42 88 67 59 60 52 53 65 78 63 64 81 82 74 75 87 85 86,2 4 6 18 10 11 13 15 17 21 22 24 26 28 40 32 33 35 37 39 43 44 46 48 50 62 54 55 57 59 61 65 66 68 70 72 84 76 77 79 81 83 87 88,12 3 5 7 9 32 33 14 16 18 20 43 44 34 25 27 29 31 36 38 40 42 56 47 49 51 53 76 77 58 60 62 64 87 88 78 69 71 73 75 80 82 84 86:4 4 4 6 4 4 4 6 4 4,7 4 4 7 7 4 4 7> {(0, 80): 'tau2^-1*t3^-1', (2, 53): 't2^-1*tau1^-1', (2, 86): 'tau2^-1*t3^-1*tau1*t2', (0, 55): 't1', (2, 43): 'tau2^-1*t1', (1, 83): 't1^-1*tau3^-1*t2', (0, 81): 'tau2^-1*t3^-1', (2, 54): 't2^-1*tau1^-1', (2, 32): 't3', (2, 77): 't1^-1*tau3^-1*t2', (0, 42): 'tau2^-1*t3^-1', (2, 87): 'tau2^-1*t3^-1*tau1*t2', (0, 56): 't1', (2, 55): 'tau3^-1*t2', (0, 43): 't3*tau1^-1*t2^-1*tau3*t1', (0, 20): 't1^-1', (0, 32): 't3*tau1^-1', (0, 86): 'tau2^-1*t3^-1', (0, 57): 't1', (0, 14): 't1^-1', (0, 36): 'tau2^-1*t3^-1', (2, 9): 't3^-1', (0, 21): 'tau3', (0, 54): 't2^-1', (2, 42): 'tau2^-1*t1', (0, 15): 't1^-1', (1, 61): 'tau3^-1*t2', (0, 37): 'tau2^-1*t3^-1', }